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National Repository of Grey Literature

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	ANALYTIC FORMULAE FOR THE CONSTRUCTION OF SYMMETRIC DYNAMICAL SYSTEMS Kozánek, Jan In this paper the formulae for complex modal matrix and symmetric regular stiffness matrix and symmetric matrix of viscous damping from real, positive definite mass matrix and from diagonal spectral matrix were deduced. Because of the non-unicity of this problem, the solution is based on the fact, that the helping matrix has the same ratio of the eigenvalues as the inversion of given mass matrix. Finally, the resolvent of this symmetric system was expressed in simple additive form. Detailed record
	ANALYTIC FORMULAE FOR THE CONSTRUCTION OF NON-DIAGONALIZABLE DYNAMICAL SYSTEMS Kozánek, Jan In this paper the formulae for regular stiffness matrix and matrix of viscous damping and for complex left modal matrix from regular mass matrix, nondiagonal jordan matrix with one complex eigenvalue of multiplicity 2 and from complex right modal matrix were deduced. Finally, the resolvent of this system was expressed in additive form. The corresponding formulae for dynamical systems with commutative matrix of viscous damping and with real right modal matrix were given, too. Detailed record
	ANALYTIC FORMULAE FOR THE CONSTRUCTION OF DIAGONALIZABLE DYNAMICAL SYSTEMS Kozánek, Jan In this paper the formulae for regular stiffness matrix and matrix of viscous damping and for complex modal matrix of left eigenvectors from regular mass matrix, diagonal spectral matrix and from complex modal matrix of right eiegenvectors was deduced. Finally, the resolvent of this system was expressed in simple additive form. The corresponding formulae for dynamical systems with commutative matrix of viscous damping and with corresponding real modal matrix of right eigenvectors was given, too. Detailed record

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